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Finding the Fourth Proportional to 110.22, 166.09 and 99.39

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Solution

The fourth proportional to 110.22, 166.09 and 99.39 is: 149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.22 : 166.09 = 99.39 : x
  2. Step 2: Convert to fraction form
    110.22/166.09 = 99.39/x
  3. Step 3: Cross multiply
    110.22x = 166.09 × 99.39
  4. Step 4: Simplify right side
    110.22x = 16,507.69
  5. Step 5: Solve for x
    x = 16,507.69/110.22
  6. Step 6: Final answer
    x = 149.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.